RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 12. Circles

Subject: Maths - Class 10th

Q. No. 25 of Multiple Choice Questions (MCQ)

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

25

In the given figure, O is the center of the circle. AB is the tangent to the circle at the point P. If APQ = 58° then the measure of PQB is


In the given Figure, Join OP


Now, OP AB


[Tangents drawn at a point on circle is perpendicular to the radius through point of contact]


∴∠OPA = 90°


OPQ + APQ = 90°


OPQ + 58° = 90°


[Given, APQ = 58°]


OPQ = 32°


In OPQ


OP = OQ


[Radii of same circle]


OQP = OPQ


[Angles opposite to equal sides are equal]


PQB = 32°


[As OQP = PQB ]

Chapter Exercises

More Exercise Questions